Renormalization of bilinear and four-fermion operators through temporal moments

Abstract

We propose a renormalization scheme that can be simply implemented on the lattice. It consists of the temporal moments of two-point and three-point functions calculated with finite valence quark mass. The scheme is confirmed to yield a consistent result with another renormalization scheme in the continuum limit for the bilinear operators. We apply a similar renormalization scheme for the non-perturbative renormalization of four-fermion operators appearing in the weak effective Hamiltonian.

arXiv comment7 pages, 3 figures, 2 tables; Proceedings of the 37th annual International Symposium on Lattice Field Theory (Lattice 2019), 16-22 June 2019, Wuhan, China

References in corpus (6)

• High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Precision tests of the J/ψ from full lattice QCD: mass, leptonic width and radiative decay rate to η_c
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Low energy moments of heavy quark current correlators at four loops
• Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass
• Renormalization of domain-wall bilinear operators with short-distance current correlators